Research Article

On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions

Volume: 5 Number: 3 July 1, 2017
EN

On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions

Abstract

In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.

Keywords

References

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  3. N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow J. Math., 27 (1), (2001), 109-114.
  4. P. Cerone and S. S. Dragomir, Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions, Demonstratio Math., 37 (2004), no. 2, 299-308.
  5. F. Chen, On Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville fractional integrals, Journal of Applied Mathematics, Volume 2014, Article ID 248710, 8 pages.
  6. S. S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 4 (2001), 775-788.
  7. J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction considree par, Riemann, J. Math. Pures. et Appl. 58 (1893), 171–215.
  8. M. A. Latif, S. Hussain and S. S. Dragomir, New Ostrowski type inequalities for co-ordinated convex functions, TJMM, 4 (2012), No. 2, 125-136.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Mehmet Zeki Sarikaya This is me
Türkiye

Publication Date

July 1, 2017

Submission Date

May 3, 2017

Acceptance Date

June 17, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

APA
Erden, S., & Sarikaya, M. Z. (2017). On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences, 5(3), 33-45. https://izlik.org/JA28GU37LL
AMA
1.Erden S, Sarikaya MZ. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences. 2017;5(3):33-45. https://izlik.org/JA28GU37LL
Chicago
Erden, Samet, and Mehmet Zeki Sarikaya. 2017. “On the Hermite-Hadamard’s and Ostrowski’s Inequalities for the Co-Ordinated Convex Functions”. New Trends in Mathematical Sciences 5 (3): 33-45. https://izlik.org/JA28GU37LL.
EndNote
Erden S, Sarikaya MZ (July 1, 2017) On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences 5 3 33–45.
IEEE
[1]S. Erden and M. Z. Sarikaya, “On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 33–45, July 2017, [Online]. Available: https://izlik.org/JA28GU37LL
ISNAD
Erden, Samet - Sarikaya, Mehmet Zeki. “On the Hermite-Hadamard’s and Ostrowski’s Inequalities for the Co-Ordinated Convex Functions”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 33-45. https://izlik.org/JA28GU37LL.
JAMA
1.Erden S, Sarikaya MZ. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences. 2017;5:33–45.
MLA
Erden, Samet, and Mehmet Zeki Sarikaya. “On the Hermite-Hadamard’s and Ostrowski’s Inequalities for the Co-Ordinated Convex Functions”. New Trends in Mathematical Sciences, vol. 5, no. 3, July 2017, pp. 33-45, https://izlik.org/JA28GU37LL.
Vancouver
1.Samet Erden, Mehmet Zeki Sarikaya. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):33-45. Available from: https://izlik.org/JA28GU37LL